Can an unwed, 4 months pregnant mom serve custody support papers to the biological father if their dating relationship comes to an end?

I believe the child would actually have to be born before the father could be served with any papers concerning child support or custody. A DNA test to determine paternity can't be done until the child is born.

Not yet you can't. After the baby is born then yes of course.

Aren't you jumping the gun right now? Let's wait until the child is born to begin serving anyone with child support paperwork. The Judge will order a DNA test to prove paternity and once that is established the Judge will decide the monthly support amount to be paid. Right now you essentially can't do anything but wait for the child to get here. Lots of things can happen in the meantime. Right now, it's definitely not a done deal.

It sounds like I'm jumping the gun, but my son's girlfriend threatened him with serving custody papers if he broke up with her. I wanted see if she could before the birth. Both are , teenagers so if he is a student and not employed could the judge decide that child support would fall on the grandparents? I'm clueless on these issues, so any help would be helpful.

Is your son still a minor ?

He is 19 and still a dependent

he is 19 and still a dependent

Can you define still a dependent ? What state is this ?

After 18 he is no longer a minor therefore it will only be his debt to pay (not the grandparents). If he is not working he may want to find a job because child support will be ordered (the kid will have to eat and have clothing and shelter but I'm sure you know how raising a kid works).

He is claimed as a dependent on our income tax, he is a college student only with a summer job that he uses the money for buying books, gas, clothing, entertainment, etc. we live in Colorado.

I'm glad he is still in school. However, he will need more than a summer job to support a child (unless his parents are willing to help with that too). Just because he can still be claimed as a dependent on your taxes does not make him any less of an adult and responsible for his life. (I'm not trying to be rude if that's how it came out but giving the facts).

My son's pregnant girlfirend is saying she is not going to ask him for child support. He's not 100% sure he is the father and he suggested a paternity test, she is mad that he suggested it and she is not willing to give her permission (DNA laboratories said they have to have the mother sign persmission).
Is there a way to do a DNA test without her permssion? The baby is due in early January

He needs to go to the courts and get it done that way. She can not refuse. He can file for paternity and visitation and support.

He can start looking for a lawyer now. Once the baby is born he can petition the court to order a DNA test (she can't refuse a court order) and he will also file for visitation wich of course won't be ordered until the results of the test are back. If she will be on any type of government assistance support will be ordered lessen what the government has to put out on a child the tax payers didn't make.